Anna spent some of her money on a shirt, a pair of sneakers and some bracelets. She spent ¹₅ of her money and an additional $285 on a shirt. Next, she spent ²₇ of the remaining money and an additional $69 on a pair of sneakers. Finally, she spent ³₄ of what she had left on some bracelets and had $9 left. How much did Anna have at first?
Fraction of the money that she had left
= 1 - ³₄ 
= ¹₄

¹₄ of the money she had left = 9
⁴₄ of the money she had left = 4 x 9 = 36

Fraction of the remaining money excluding the additional $69 spent on a pair of sneakers
= 1 - ²₇
= ⁵₇

⁵₇ of the remaining money = 36 + 69 = 105
¹₇ of the remaining money = 105 ÷ 5 = 21
⁷₇ of the remaining money = 7 x 21 = 147

Fraction of the total money excluding the additional $285 spent on the shirt
= 1 - ¹₅
= ⁴₅

⁴₅ of total money = 147 + 285 = 432
¹₅ of total money = 432 ÷ 4 = 108
⁵₅ of total money = 5 x 108 = 540

Amount that Anna had at first = $540

Answer(s): $540